Relevant features of the dynamic structure function S(q, omega) in He-3-He-4 mixtures at zero temperature are investigated starting from known properties of the ground state. Sum rules are used to fix rigorous constraints to the different contributions to S(q, omega), coming from He-3 and He-4 elementary excitations, as well as to explore the role of the cross term S(3,4 )(q, omega). Both the low-q (phonon-roton He-4 excitations and 1p-1h He-3 excitations) and high-q (deep-inelastic-scattering) ranges are discussed.